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Finding the Fourth Proportional to 20,896.26, 28,837.34 and 11,464.82

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Solution

The fourth proportional to 20,896.26, 28,837.34 and 11,464.82 is: 15,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.26 : 28,837.34 = 11,464.82 : x
  2. Step 2: Convert to fraction form
    20,896.26/28,837.34 = 11,464.82/x
  3. Step 3: Cross multiply
    20,896.26x = 28,837.34 × 11,464.82
  4. Step 4: Simplify right side
    20,896.26x = 330,614,912.38
  5. Step 5: Solve for x
    x = 330,614,912.38/20,896.26
  6. Step 6: Final answer
    x = 15,821.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.